10 citations · 35 across the 14 of their papers we have counts for
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math.AP2019★ 4 cited
Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation
Maicol Caponi
We propose a phase-field model of dynamic fracture based on the Ambrosio--Tortorelli's approximation, which takes into account dissipative effects due to the speed of the crack tip…
math.AP2019
Energy-dissipation balance of a smooth moving crack
Maicol Caponi, Ilaria Lucardesi, Emanuele Tasso
In this paper we provide necessary and sufficient conditions in order to guarantee the energy-dissipation balance of a Mode III crack, growing on a prescribed smooth path. Moreover…
math.AP2019★ 5 cited
A dynamic model for viscoelastic materials with prescribed growing cracks
Maicol Caponi, Francesco Sapio
In this paper we prove the existence of solutions for a class of viscoelastic dynamic systems on time--dependent cracked domains, with possibly degenerate viscosity coefficients. U…